2008/04/07 by B. A. Mamedov, Б. А. Мамедов, I. M. Askerov · 1 citation
Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Algorithm #Applied mathematics #Binomial (polynomial) #Binomial approximation #Binomial coefficient #Binomial theorem #Central binomial coefficient #Computation #Copper Interconnects and Reliability #Discrete mathematics #Gaussian binomial coefficient #Green S #Lattice (music) #Mathematical analysis #Mathematics #Negative binomial distribution #Physics #Poisson distribution #Statistical physics #Statistics #Surface and Thin Film Phenomena
paper · pdf · doi:10.1007/s10773-008-9728-8
openalex publication_date 2008/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/23
A new, simple, and efficient technique for the accurate evaluation of the lattice Green functions is presented. Using binomial expansion theorems, these functions are expressed through the binomial coefficients and basic integrals. The extensive test calculations show that the proposed algorithm in this work is the most efficient method in practical computations. Finally, in order to show the practical use of analytical expressions found some computation examples and comparisons with literature are made.